Approximation of variational eigenvalue problems |
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Authors: | S I Solov’ev |
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Institution: | 1.Kazan State University,Kazan,Russia |
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Abstract: | A variational eigenvalue problem in an infinite-dimensional Hilbert space is approximated by a problem in a finite-dimensional
subspace. We analyze the convergence and accuracy of the approximate solutions. The general results are illustrated by a scheme
of the finite element method with numerical integration for a one-dimensional second-order differential eigenvalue problem.
For this approximation, we obtain optimal estimates for the accuracy of the approximate solutions. |
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Keywords: | |
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